Hyperbolic groups with almost finitely presented subgroups
Group Theory
2021-01-08 v2 Geometric Topology
Abstract
In this paper we create many examples of hyperbolic groups with subgroups satisfying interesting finiteness properties. We give the first examples of subgroups of hyperbolic groups which are of type but not finitely presented. We give uncountably many groups of type with similar properties to those subgroups of hyperbolic groups. Along the way we create more subgroups of hyperbolic groups which are finitely presented but not of type .
Cite
@article{arxiv.1809.10594,
title = {Hyperbolic groups with almost finitely presented subgroups},
author = {Robert Kropholler and Federico Vigolo},
journal= {arXiv preprint arXiv:1809.10594},
year = {2021}
}
Comments
Primary article by Kropholler with an appendix by Kropholler and Vigolo. Accepted for publication in Groups, Geometry and Dynamics